Warlord should get a short rest ability that just straight heals one person back to full. No numbers, just a couple of band-aids and a peptalk.
Karate chop meat points right in the throat.
According to 5e rules.
The damage while fresh, before becoming bloodied, is strictly nonphysical damage: namely fatigue, distraction, luck running out, etcetera.
But when damage reaches half the total hit points, in other words bloodied, then damage includes superficial physical damage, the kind that leaves bruises, requires bandages, and so on. Only at zero hit points, is the character downed, with catastrophic, possibly life-threatening damage.
I feel more DMs should make a point to play these injuries up. For example, if a character did get bloodied during a fight, then the next day when the characters go to see the mayor, the mayor is shocked and comments at the terrible black eye, "What happened?", to remind the players that they are still walking around with bruises and bandages, even at full hit points. Getting bloodied leaves a mark.
When DMs understand more clearly what the rules for hit points are, then the concept of a Martial healer makes so much sense, and adds to the realism of the D&D game.
It is conceptually reasonable, even enhancing verisimilitude. If a character is still fresh and hasnt gotten bloodied, and is merely fatigued and shaken, a Martial peptalk can and should restore the character to full hit points. We see this in movies and in reallife fightsports all the time.
The only challenge is keeping gaming mechanical balance. The flavor itself is useful and helpful.